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Artificial Intelligence
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Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
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Local search is often a suitable paradigm for solving hard decision problems and approximating computationally difficult ones in the artificial intelligence domain. In this paper, it is shown that a smart use of the computation of a local search that failed to solve a NP-hard decision problem A can sometimes slash down the computing time for the resolution of computationally harder optimization problems containing A as a sub-problem. As a case study, we take A as SAT and consider some PNP[O(logm)] symbolic reasoning problems. Applying this technique, these latter problems can often be solved thanks to a small constant number of calls to a SAT-solver, only.